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Finding the Fourth Proportional to 1,552.75, 2,142.80 and 854.13

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Solution

The fourth proportional to 1,552.75, 2,142.80 and 854.13 is: 1,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.75 : 2,142.80 = 854.13 : x
  2. Step 2: Convert to fraction form
    1,552.75/2,142.80 = 854.13/x
  3. Step 3: Cross multiply
    1,552.75x = 2,142.80 × 854.13
  4. Step 4: Simplify right side
    1,552.75x = 1,830,229.76
  5. Step 5: Solve for x
    x = 1,830,229.76/1,552.75
  6. Step 6: Final answer
    x = 1,178.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.